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5455336000 = 26533891753
BaseRepresentation
bin1010001010010100…
…11101001001000000
3112002012011210010111
411011022131021000
542133031223000
62301154441104
7252121406452
oct50512351100
915065153114
105455336000
11234a438754
121082b93194
1368c2a628a
1439a74c2d2
1521ddeacba
hex14529d240

5455336000 has 112 divisors (see below), whose sum is σ = 13552596720. Its totient is φ = 2175283200.

The previous prime is 5455335979. The next prime is 5455336021. The reversal of 5455336000 is 6335545.

It is an interprime number because it is at equal distance from previous prime (5455335979) and next prime (5455336021).

It can be written as a sum of positive squares in 8 ways, for example, as 4117532224 + 1337803776 = 64168^2 + 36576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111124 + ... + 3112876.

Almost surely, 25455336000 is an apocalyptic number.

5455336000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5455336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776298360).

5455336000 is an abundant number, since it is smaller than the sum of its proper divisors (8097260720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5455336000 is a wasteful number, since it uses less digits than its factorization.

5455336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 5455336000 is about 73860.2464117200. The cubic root of 5455336000 is about 1760.3830089305.

The spelling of 5455336000 in words is "five billion, four hundred fifty-five million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 389 400 500 778 800 1000 1556 1600 1753 1945 2000 3112 3506 3890 4000 6224 7012 7780 8000 8765 9725 12448 14024 15560 17530 19450 24896 28048 31120 35060 38900 43825 48625 56096 62240 70120 77800 87650 97250 112192 124480 140240 155600 175300 194500 219125 280480 311200 350600 389000 438250 560960 622400 681917 701200 778000 876500 1363834 1402400 1556000 1753000 2727668 2804800 3112000 3409585 3506000 5455336 6819170 7012000 10910672 13638340 14024000 17047925 21821344 27276680 34095850 43642688 54553360 68191700 85239625 109106720 136383400 170479250 218213440 272766800 340958500 545533600 681917000 1091067200 1363834000 2727668000 5455336000